Question

Calculaye the perimeter and area of these composite shapes

Answer 1

For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

$14 + 18 + 3 + 4 + 3 + 4 + 3 + 4 + (14-9) + (18-12) = 64$

Thus, the perimeter of the figure is 64 centimeters.

Now, we find the area of the figure:

We have that by definition, the area of a rectangle is given by:

$A = a * b$

Where:

a and b are the sides of the rectangle

We have 4 vertical rectangles from left to right:

$A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2$

Thus, the total area is$A_ {t} = 156 \ cm ^ 2$

Answer:

The perimeter of the figure is 64 centimeters.

$A_ {t} = 156 \ cm ^ 2$